{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d9edb672",
   "metadata": {},
   "source": [
    "## 支持向量机组成\n",
    "首先对支持向量机做一个直观的描述：支持向量机是一个分类器算法，主要用于解决二分类的问题，最终告诉我们一个样本属于 A 集合还是属于 B 集合，这和之前学习过的分类算法别无二致。\n",
    "\n",
    "对于支持向量机而言有三个重要构件，分别是：\n",
    "- 最大间隔\n",
    "- 高维映射\n",
    "- 核函数\n",
    "\n",
    "如果用一句话来总结这三个部件的作用，那就是“最大间隔是标尺，高维映射是关键，最终结论看核函数”。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3dc291ce",
   "metadata": {},
   "source": [
    "## 支持向量机本质\n",
    "支持向量机本质上是从在线性分类算法的基础上发展而来的，就如同已经学习过的 Logistic 逻辑回归算法一样，只需给线性函数“套”上一层 Logistic “马甲”，就可以用线性模型来解决离散数据的分类问题。对于支持向量机来说，要解决分类问题，其过程则更为复杂。下面剖析一下支持向量机的本质，从而帮助您更好的理解它的算法思想。\n",
    "\n",
    "- （1）间隔和支持向量\n",
    "\n",
    "支持像向量机算法中有一个非常重要的角色，那就是“支持向量”，支持向量机这个算法名字也由它而来（机，指的是“一种算法”），要想理解什么是“支持向量”就首先要理解“间隔”这一个词。\n",
    "\n",
    "支持向量机中有一个非常重要的概念就是“间隔最大化”，它是衡量 SVM 分类结果是否最优的标准之一。下面通过“象棋”的例子来理解什么是“间隔”：\n",
    "\n",
    "中国象棋是我国独有的一类娱乐活动，棋子分为黑子和红子，并用“楚河汉界”将其分开。如果用一条直线将不同颜色的棋子进行分类，这显然信手拈来，只需要在楚河汉界的空白附带画一条“中轴线”就能以最佳的方式将它们分开，这样就能保证两边距离最近的棋子保有充分的“间隔”。\n",
    "\n",
    "上述示例中产生的“间隔”实际上是依据两侧不同颜色的棋子划分而成的，我们把这些棋子统称为“样本点”。虽然这些样本点都参与了分类，但对于分类效果影响最大的是处于间隔“边缘”的样本，只要将处于边缘的样本正确分类，那么这两个类别也就分开了，因此我们把处于边缘样本点称为“支持向量”。\n",
    "\n",
    "- （2）软间隔和硬间隔\n",
    "\n",
    "间隔，又分为软间隔和硬间隔，其实这很好理解，当我们使用直线分类时会本着尽可能将类别全都区分开来的原则，但总存在一些另类的“样本点”不能被正确的分类，如果您允许这样的“样本点存在”，那么画出的间隔就成为“软间隔”，反之态度强硬必须要求“你是你，我是我”，这种间隔就被称为“硬间隔”，在处理实际业务中，硬间隔只是一种理想状态。\n",
    "\n",
    "- （3）最大间隔\n",
    "\n",
    "上述所说的保有充分的“间隔”，其实就是“最大间隔”，你可能会问，为什么是最大间隔呢，两个类别只要能区分开不就行了吗？其实这涉及到算法模型最优问题，就像常时所说的一样，做事要给自己留有余地，不能将自己至于危险的边缘。\n",
    "\n",
    "如果将数据样本分割的不留余地，就会对随机扰动的噪点特别敏感，这样就很容易破坏掉之前的分类结果，学术称为“鲁棒性差”，因此我们在分类时要尽可能使正负两类分割距离达到最大间隔。"
   ]
  },
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"
    }
   },
   "cell_type": "markdown",
   "id": "eae7108e",
   "metadata": {},
   "source": [
    "## SVM高纬映射\n",
    "\n",
    "宋朝的苏轼有诗云“横看成岭侧成峰，远景高低各不同，不识庐山真面目，只缘身在此山中”诗的前两句指的从不同的角度看待一个事物会得到不一样的结果，用这句诗来引出的“高维映射”这个概念再合适不过了。\n",
    "\n",
    "支持向量机的三大核心构件分别是最大间隔、高维映射以及核函数，高维映射则是支持向量机的第二个核心构件。我们知道线性分类器最大的特点就是简单，说白了就是“一根筋”，当面对非线性分类问题时不知变通，因此就需要帮助它疏通一下，就像解决 Logostic 逻辑回归问题一样，高维映射就是我们要寻找的方法。\n",
    "\n",
    "#### 超平面\n",
    "\n",
    "高维映射主要是用来解决“你中我，我中有你”的分类问题的，也就是前面所说的“线性不可分问题”，所谓高维映射就是站在更高的维度来解决低维度的问题。\n",
    "\n",
    "我们都知道点线面可以构成三维立体图，比如棋子是棋盘上的“点\"，“间隔”是棋盘上的一条线，棋盘则是一个“面”，而当我们拍盘而起，棋子飞升就会形成一个多维的立体空间，示意图如下：\n",
    "![image.png](attachment:image.png)\n",
    "如图所示经过高维映射后，二维分布的样本点就变成了三维分布，而那张恰好分开棋子的纸（图 1 呈现绿色的平面），  SVM 统称其为“超平面”。\n",
    "\n",
    "通过增加一个维度的方法（给平面增加一个高度，使其变成三维空间），解决“线性不可分的问题”。"
   ]
  },
  {
   "attachments": {
    "image-2.png": {
     "image/png": 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"
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uVVQc1tY6BgbydN/22OFYdziCsdjq8vJJcGPE4TBDyuX5+UBDg6O7W1dblAz4/ct+vyMeI9mqn6+t/Wlra7K2NgxyNzXpB0Nzhw7HjMOx/OzZ9taW0+m8Ul8v3rlFI8jVsvxcHdhljAsMYHf8Mhhcu3lTcPmjCADAAKZK0pHF1tYOQqGkRUkzAaaKoWhvL/pPY2PjLS3h1lZDkf6VUmCABF6f/+NIv9YYyd2Rw3rr2jWZbwkYwFSRAbYBsxONslv73n8/Wl+fsjowQAJPrZTArxbAa42RkDK+9XXB7qj/loABTBV9ZgbTG1tb34+NxQpl71FAAk+tDI4hF5p6rTESynpznYui7AMwVWShLcJFtnd809OHOjGPuAEggaeWGOyVK5X9Reb4xLjebe3ubgWDJ5GYYajl3jqv111RUmLI5xVGD5S1gXpIBNNyjsJhPW9Iy1cSTieEefI7Zhzc+QvAVDGUHFj5eVDXDN7eahgG87JefwwYyQfw7e4+9Pu/f/QoNDt7tLurraartbV7YGAEGUl1TVYFdxVdXSUez77WcaoEwFRJBWWnPBdWw864X9T5MWDk/akpVVji6Og4ij/10HSYcrl8m5vTn3/+13fvZg8pezs714uKYM1IPs0NDb3V1ZLAlsBkVmPi669+8d6d7K2GpQEbgF95jER2943Dsdbff06gJByF8PB2qqsfD1wrfPTwz/v7syTt6KuvX19e9k9M7EhQ7hUTE73FxX0tLYaPkf6r5Gr80NX1j9lcjXQm8mpTNsjuRp3OZzU1YtkdyAoP77HHMxkO69kl6OMo9znpB2CqJAXnnjpYWvVefj7YlhRAywQAMIATr7bFdXUamEzCAJ/masj0eAkwr/AeierX6NOnK11d0aoqmZVi9xqfnKyPxTT5W01bG0JCeWK7uq4OjTKzvtoaq5yu/PDk5NL29mY4HNndPYldkFn5TqervLza7W4Lhe4k26pdlRVNvb0rLhebusxT5HIBTy0VOP3VkOn0EmBeDkZy+z4+PIrEjvJP49Y//4wiTtw8ki7EoeP0yZMnoZoahxxG0sjs7Oy1qkYNI1GhQGaNkFCGJYnOTlNdXZ/w8seV4N+/8w46ad8/ebI6PR3T0c7OurrG3t63r18feuedpKK/2qqqtwcHA0dHMoNhLs6jI+CppS5O+quRdJEvP/PlYCSSjweTk7Pj45Fnz7Q5F5aXV3Z3jwwN3erokEHKk2h0f27u6J13tBZSJiKrq2Gd/jYaPahQILNGSJiybtXERE9JSXdPjxgSbEP3kWul45NPGKEemN9bSVFRUnQEjCmPeGuf/OlPz4aGUoptStbWmkZHR26/ry1U+quhH+pLTF82RnK4fDb2ZK65eaW3N9LUpD/XWIVIZeU3FRULc3N33G5tJxOszunRkcOSVcZh3JYMcqDRgwrFl48eISQ025wUNduJiQ+83pveFDpp6lBp9hztkjFBBdMpKyv52eDgH5aXJ2MxgWjb/exZ/8bGnw0OAq9vLc3V0Df1EtOXipGq3tcDtztkokcYdjjYMwM7Ow54igsLMkiZ5tqhy4NGT34kMrOzg5AQqQxscK1NSBnujhzW7I6go5nijwafZgI87mpqisVilaenz32+hfl5g/ZGscfT0dl55fT0raoqINPsLjerXx5GsjtO721/EY0GzXcjdY0U3RZO893dlmhUO5Wyt3zg2QdlPY1o7JoYx3B35LA+3/ayN44XLfM7rDrT2K3e3dtfXHyRrfxXNHaDwTcau/o1sZ/GJGry6EjmxkYfIOXa9vb9hYUPhKiQh15CnrwU0OEwoZTBtmsNDfw53n/f/gwzVxMKiT+rZg+ZWo3MzcNOS5fHj/T7fFMz8kIN5ex+MDoajb/56acIoVDa1VVYVqbPFKddjY1ujzWen7jB3Cn90azG5Z3asVBob3lZ/hNGI5Ht2VmFXDWhD4ocedevX//O49mUbhSDmQaT1qTbyFHAy1kN5AtTa2vT8/M7c3MOHbfVWV/f0tnZ19lpZjkkv2qXh5GY0x/riIaUQ4QM1+tMJMIjlh26enUlENg/PEzJLqE6wpKBysqWFwy8xAZt5yAseekuAy5hNZZWt8b2t6bd7hWPJ9rVpScBIbmWKyr84fDVlZVbfX3p3LkvDyNtf29BRX6RQysr0VhsyekUCBJh3xStrd0IhfqbmjJLKkGu5Y7LgKyuBuaRD0LrX5+c7GBLdEbm6+/vMNVWHY4tfplLS0XLy4P1DbbVOF5tjARZlev/+Hh0chJDaV4TNV6RtlVsbvaMT/w807o/SJ7G1vznLgOamw1UkfqRArHY+CW6DJBcja65uZ9b0f1hpr+fnEQxQKxHwqbAV/j1vXtlTmdKe2KzjeaVx0gmxjHRjH7kwoJIPzLT6Ei/qt6XwIOF8gtxOgH43cOHh3t7Vmlns28mzpdaDYvoiFx0qb9/x0TLRD8edb5jgYB7d9fenTJdjJS/6hZWVHD/vVA90M8jIX10cLASjRbt7//f/+k/IXnTypOa0HNrwb0T4ou+27dPbhjlgaoOue1DROvakODu+BRT7uZmM0mPBg8AynJPw+Hm7W17H0lrSiaR8dWA3YGYfnNkxCGBkYyQ+U4uLLR4vfYmmxZGWrrq1jY2trjdcS4aTBZ4JxLZOD6O1dSUvPvudLxmg5kJPZ9B5eGZNJn57Ay6DMj44DK7GkexY7RGIqkE+vpZYI20A9vOlhsZ+xhp9arbXF19zeVaWVsT08Wg40IkEonF3CUlZX/+53nxsjIuZzliQp8RlwH6r2iW5hQKBsPh3eDxUZxQPt/lrPJ6q7Lv+w/9LJSYDBoIZqNV87FGOvZ6xTBmpTYx0t5Vtz8cnh4dXXr3XTO6mMN6keUvLS3a2vLs79eZ6PUoYkanc3d09D+UerItazZbOMVlgMulpzfNINX8pC4DxFUohZYf39x8MDOTqCfl6e5+++ZNqLkfmUNKOxgJOtq76uIV5Jdu999/+21ShSvQcengINTU5Pz224aysoahIcEHOzeh39h411mQWYaOoNNLLgId/+Hrr+Z6e3fu3DmM15c7cjiQC/zR5Zr80blZs4ORKNvavOoODHDKoHA1eXw88fAhB5/e0whDiRUUVP/rf11z5UqJ11tYXCzGANWEvrO4uCL+ZBfXelVKuRTBcMEg5rC6WiGeEuyHmAinODTTNysr8L8uh5C/hNWzg5GxaMT2VZdLN2pUpdvbjR7PRkPDkc7MZcnnW5uaKvn009KampToqHwP1YS+66rKsE1zsXJB7qJNgbsjJkHw/wRakiow959nsVjJ7i6EvMzxTcvLq6t+32Y4FGfNgbi/oam6pbEx8cA5yStCAR6rjBNtfKkSWCPh5ToVVPJyOxhJS2ledc/p4niD5R8mpp6gisGNONXuqE3FzIReA5BJ2JS7ZMJlgNnwQJrxaFTMjtbqcoFZKSrC5Kh+8LpDpyGvAWgJ9l0QnZZnt1ZRp3fotFhcrcfdVaUDW1v9bjdfR6tCotBZgD3Gfnm5vDU6BkwVl0zZ6Ef8Sqdty12y6jKAPQykcfT3S65tKBTC5OjjwUHBvsQP70LuktAyhu1jDsfSxARiwJ/fHNazb+EHYx4UdLslMRKZbX9HR3Opqa9N8aQuTxtNPI6XVYrc5Xc+n5TcxecDWBsnLgPwAqC9pkwoLgM6O1OCqQAcqcoeJv0c7e1hcmQw69HXVomkB83N4n2XUmAgp4DXqnPRwnKobXIypeEvVRQLkHv3Bs9kFloLlhKvNUaey1007wPmK3cud/F6qaJCYdvVGw7LfCTgAQNYMQeTf3RHaupKxDfA5Mjk4e44uhmAZj+UGAAwQAJPLa09kBLnCymt0fFmjYt1/P4TjIIqWnVLCZv3yCxddTGJP7AyfIMJvZWqCmw6chcoALwAHBytf53KjwXoaOYywOqA7cHD4YWjqbCQkhHshjaBwQXIg6++auq7UdF4YVnG5XIkclKMNprPt+L3R0MhgzZaTUNDu9t9taIizTAUdjDSWeLKxlU3HRN6roM2fKOlKXdJ02WAARWy94q8Bwa7wtGUwEiGARMD+HBzq6MxzjUD8/VG3XVo7IZCSTR23e6+mpr2tDlxdjCyoKgwG1dd2yb0oKM932jpy13YOWy7DEiBgjr9khSQFOflKUY2Jg/iR71dvAlUXDbwBqGlWszJ8E5bG3+Ou3fjKmTuxXQagi7Uq+7Md99tp1KYo5Hzq+7gINwyQZsUMVt7JvRaIJmX4htNXQ0bLgMEqwF30HV8DP0r+WBshMmR6hFEskrOgtnBSCajXnXdfr/4FsVVt35y8hPpq64NE3pJb2BZ9Y3GavCnfOMMGfHArIY7CDtG8vF4PJgcYWojCZ/LYDYxkill46rLd5U3oUdKzmGt+EYrLzdT3VCXntv6Ib7R9vaaw2FUihLFErn2hZCdwKyGOyhm1qjDxuMKCsuYHHGbyrWJ2BhP3Bwg+C0pPslcdZvO8GZzczPkD+Yf7mlDPCkq8zR4q6urE2Vfkib08MzS9I3GTR+vFWm6atZmlMEEvxlkJzCrHzx7BjtGQCNzCrUGAuikiNVj8alkyhxKNm7gk2WL8vgcoWgk0fG2qjXnKXHpue6Chi4wkhZtKD6Jr7oqzfGP09Of/+lPz9HsRyfgxVPU3HxlePju++//vLc3ESnZgPkTaw+k7w0sq3KXFxO1+Z/pIzuJoftTWAg7JtF+iHYxIeJSdDtViEVwAtW1HSt+ACu6u6klP3SQBws4DEseQqQvLJy+YKbmFRW5OzqGBwaGOzokI+aeYyQtZkPxaWxx8f/47LPlv/mbcF+fsoLx1rHP3O7/dnz89T/8w//+6acj8TJumbVI3xtY7rhqTjpfNhV8M8Oshjtoqh/Z35+SZESxF03KPybtwyQTeGqZFCbJxrsY7pyCGN8ND5/qHG8Tux3Z4zcu1/Ts7Mjz5z+7dStJ5fgsBSOzpPj0h9GJ/7qyMPfppzHNRNrjie/dseNwAPB/TU399W7sz4auGUpTvqbpDQwCORdcNQumCVIOcLHpuwF30MCOkdchRwMQxV40KVFdE1+4GYlKjA7391NLMDCtiL0MdHzs9eLI8/x2kcD1RGsu1Nz8OBBw3L//6eB18fFdyN0xG4pPE37/F6exB+3tsVSbHwAPotGGg1ij36943rnEhytH7stdGKQiO4lnVltaJOhF9lHiJ6NJieqawKoEIolbKdeAxHtU0h7Vw1pxdpfK8Ta/BFSMH8RiPdtB8fFdmCXFp68nJ0erqyNytj+AjT55giz/kjGSVX5V5C5JEUI+E6RUTbnRpER1DV0hlDP0rjchZWAhKTS7agIv1zSkDHdHDmsB7aW1BFIGXa6HDx9W9ZcItsnCbCg+MYjxx4+X2tsd169rAxInlubnx/FMZ1ESkBFvYNAQ2ZK7nM0Z8g4D00TFHLHLXfFy2SsFKVHshUGB6hq6QppyBssIgx2OJiwkMc1u6BfKGlLGEAHXAGN4BX64oYE1N+Rrr4X2FZ+E3OAoodOtyMEgw6miDUsmoXoD2ysrk+drmPlGYwux56o55ThBxweTy6OPHvoWZ2K7HFznj7O8uqm9Z+jm8Eh/C72/yM76fxAOxV4ucxgCGDpDXcEqR5MIawplDSmTcHc0NK6+wjE4WlhIjMumBz6jtV/Q6voC07RQ8emils5x1kWmOGWxSma9gYEW55ih+6VB842Pzi4tPI1s+fRjd1U1tXVcHehrEfzWgfetbX5+f2Lx5ErgpDNaU3vijbML2DvxbM2fzi9+dffWtaZ6y9GWwPXZxbWpmacB//PDcEgbXpHbU9Nwpa/nand78ujb6okpODe1pmQSGqNHBhiYlPAX/EjJFnMHjDXNqm+0yZm5sdWjuc0832bZwW4cxhSflq058zZja4ONm/09yYPJzfl8j6cDo+uFOyXFjqJah6fWsHSKi+s9x3a00DWxcuM4ZsmLs+I/e3JhZsf9bK04FKw4jl18x4KY25NXvFYQXd2YvNnf8bKshw2TlX+9mIl8ndyB5AzKhm80tp/ny/4vxtemd0rDIFOV1xGnluVAiXMx6lhfJJbwfrGz5EpLg+HkVTgYC9tfL+zvlLSJlwuArxeWiosLUX2CrBYDq6UqOv5+bH2rtM9R3OZoiOsCERQBjrcCjmdLi8C/ckh5pkNu5cInVny6WFC5i8UFPCkbVc4Iw9sOB6ILxSUf5z463vF/ZOIb7Qa+0W4Oiw9ZbTB7e9F/+vzh+H6Ngo7mD6XAAAm8AWpu3jezXZwSHdVagAFMFUMjSV/5tbA7nqNjUogXmeArYABT5UVe5v8jlbHUaEr4wiwpPpW0tSEnjHMLIhw4wCWWrrO61qS8gUn7RmMHGh1f97mvHxylXuuD/DIggR8aqNOfj+NT08sbLkd5j26YouTy8vJ4LHLzWmpDHO6OHNbK7ijxADazE21cXLvW1SQBbhkELj1CQnx7SH5oxJ7FHR1i+WRhlhSfBm7cmK2unpWeY1tn50CCREeyNicmHF0OPHyjTVVdmZ1bWF6Yju1sUP1gbs63vhV7/HiutXegr7erM7VH0+D29rc/PIxVvCvZ+95R0bc/fN3WfFuPkaGtlchulUNK6qH0E9ndChVw2KZ+IGW4OyqHtdzzDCP44wNLGKnQTESumJ3FoRQefLR+sMLG7JVAaZpvSCSNyKy/0SAkEsCL5ZOFWVJ8eq+/f2l1dYWoXhJMctf4+NDxMVUkZpQcBKRE6rW4sLpTVB+pcp8c1jjOyE+OKzguwaPilQ3XuvNkJTjf31EppiEi+7twag57bziKZIN4Ah/ZH4gbWSx2cmjBZEgBlmM1QFlDyhjujnFdx7+EtjYCpwhrZR815tBMTY3P6908PDzSMQ6V6D44KCwoIFAakan4BaLRgwoFMmuEhDLySc/KCvDUEoymkNt0ZhWf1M6Qvnzk3/IvLtwvKRELEp1zcyOLix81d6QjsEGcNTW/8ocnPn/BlYP8BkdtnDQSpgvy/umQY3Vt4+DgyFXgFHNbDnSMQ8HanRcdhq3Bp25RBAGjR09Zi0DPyo5jYT1vSAwPOj4gAlo0ulVRcVhbi7s9vQ4wP2/8YBBGkrh9BEobcThASkSCqFAgs+aXL0BKxOXVgcCNcLijq1vMeFJobe77mVJ80k8YzYnKcueWqvtzxgTOi9f9OXWjnHjc8tln/5st3R99Xwsrm7+6N7ZVOXJ4IrL3VQnbyP7Ev/vpHQN1rG/t9UwrNJPvGegojjmEwBAA4vYRKI3IVKCXotFz/z4ya4SELF2i4hzXR3ZH0FFW94dWaDcjik+GbznY3v5//uIXZvqRrap+5C9+kVKfytCs4VVxrLoSSYmOai2QcvHkADnKJQtLDGPOwVfujhzW7I4yYyOMJHH7CJSmnmwIgVChQGaNkBCpjMYGj9OP7OqWafmCHwlSpq/4ZOiSfQiWITq5P6mpCd3+SFKH3NBIyle/b3liZvXQPZgSUgUIBEOjj+YHupOLNCQbEYNBBBQdeSQpUJpC0FJUmUUejXi0aimkDHdH5bCWeNgpCSNJ3D4VI0Eejm9UKJBZG4SEqtacHR1yhpG+4lPSuYCU/DmSizaS1rCWubkW2PQvOzplMTIa3vUFZk6id80MtYrLqy1QJUVu4A0jbm3pWS0o8MVJDQ0gca+19fWtjTVxWSYv4C5SGXnkLXC6i9xSkn8oa0gZeVfNRDUN+HxahAqQkj9Jjq/J5JRs0a1LUC2nik4c0cPIhWA35dhOjk/0Sg8GeFdpOToQRU4p8YlaF3hq6dtBtNhWV158cmFXpC81pAED2EwaaQBGZu2pktrG1IoAU8XQSNJXGD16NxVJYfSZAOt5Q/qidNIXp3Y6rQjqcl9OqoulaprkIHnhrax8963h3ywfi4kkbcplhYfAU0vLIYHaZZ9/beW5b7WwN2U7DcfP+7xNVNG3YJZGhQKZNUJCyae1qb6vy8KvS7JZGTAYIICZKRmZffrsYiTiXeK/EnCTCIf6kHKu1tbugYGR/v50OD4yi2IDBo4GAphHM39cLOxFJCNuge2tKTw9NPCxnj2uVhm+3uN0On9174GY5Krfuf8XHw4O9MpyvNHoQYUCmbWM2KZqf6qns667XbZx8WQtleKyy54iZhYxcmJh4atwmIgvgdLS6PCw3tn/Ln7ty8vXT05mJAwvLC1ERoAVRwZ3h3/3cGl6JyIQbbsPN3or9j8ZHgY+sV/2gL7O5r9xlsAHmJiZ5aarv1oUuTzVDS3XeroHm291NFebbRhJm0V5gvzfj02JkRJ0/PPBOoDlG0/szl4Obh2wo1/p6sLa4YjwBqenWjt75eUEVyWaJSoySW1Ns4WRKjqOl5eHOc7iTzQGp7Ksl7a3t93u8oV5VQCgDdpqIt9RwgeWJ2zzC/JRmBX0wifsams+iEWrFG20oM/nM/DAIWWampq6mksGG8uANGuKmz7iu1L3Vntp4+ZaEfddDZIxV9fXNDR5G+s8VjGG/VhFSmTWCAmRysAG11qGlOHuyGHN7mhJ8Qf+gFXrdapo/aoJLml42USuiFuHKBZ/mtHfCziILHjpSnBVZFTj44lhPbOCkRzW7I4KOra2vhhJkv+q4cUXExPuve0hZyHfLwmQRBaftrrh0C8BqYKUuBXaJaWXHEgNb9129dTyUmwvkscyXjyuKmdb0+lAX70MackFUfKOeNFBqhRI+cGtflQokFkjJNRLZaCsa+o93B05rC3hOjJrhIRx3smFw6iuq6uJV/wBHfEy8s87OymNHrE+I7gq0Syx7DFYmeWhEi7s13Ihw/pyZuabxsZnCT8gs7beXVq67XTavlPCIf/mafBLnzMlDaEOoLXs4OPOvDcccsPnUMxHCwrGkR9KqAWi4zews/PR8bH+q6Fy/5Xf/8eODpkW6J1GPl5YuBNvdpN57g+UNaRMYMeCdH9qZsYPZ8vuww402Oyq2n5QlJ+aAVgRXWrPf/4GHRMXG42enkCgamIisSgxBzCAqaIvwhCMYKn6nJRp4KmlB4s7taGPcDtrCDODIi3eSHD/gL29jJIzRndQ1pAy+m7E6b3lZYLTiGHEpRAHf/Xh4P+8P32maWFKIIOO73WU3r7WbOk4E3dtKOWIsGf+Ymjn8l9ZEy70qFAgs0ZIaLbPsbGBjh94vTe9tYZlRFoTgqlixRAMeENw1XM8UC+kBENdrKgINDSgg6lfkTKPZ72oCPcP2NvLXIlg9Ogpa31TSdPH4fCxzjVHUhhxJndQGCixWGwqmLe07t9YW9NfrfKLil3lVS0tLT1tHrTRxIo/4o7Epaq9watr/sL1FI0eVCiQWSMkRCqj55kr2mh1dU11dT0lJaBjIsOLxdHz+MRrpZYmwisYCSeTyOXKhRQtN7z2dnfrdZAAQJVrBmcsExO43Xa68mWu8zKjEcBAG2HDcrAXMbgWKSgsKi5zJTVJ4fd6+2Z/4+rWZMH2s+OtOHGC0+mpcg105Hd1dhq2eeYeDO2FQtuJHXk8lV5PmTy9paJjRsxfMjgqwSInLVJoprIeVCiQWSMk1C+jorFbVNRXXd3d02PYHZM2ZS9TwUi8Wv16ZkYcQQMwfBnivzQ8OYm9ffYGREd8jx+ml78bm322OL+/Nq+fWGl9Z2t75zuD3Td7ryTFlReE7S19LbM0HaHG9mhy7sHoWGJHI0ODN/u7uA8k7cjQJoeMFfOXKapDLCddxgyOyjBIyVdGBb2ikCzvvy9ZJYNghdwdx3Ar/+GHZvcGfWcgJUxEwnSm6Y9f36Yhze7433/120ebZac1bx22X3NcidN5YLeeLSyZ+3JyamLsf/2rnxo2PENTKV9/+8X90U13qKgrilQjoaPvIu7pb/1D1fP/9tPUHyaD5i8ZHFXKFchBgPyVlRUixsugozr6zXCYMJ0Q1GaTIYweQkLC6JkBJOY76+sLKyrYZta2I//4KDJ13HVY1qqwcvILFdOC+D/yKQUGSOCpldhgyhz2of/3sz+NBd2bp94oU0nWEfmUAgMk8OI2FfMX35oYRl+qmL/MPNXnkM74qAztZ/uVOxWf3lIvwFNLXyV/B50iK+5NIru7hOkkLr2+FX3a5SxEZu2S8/WmVmzp7KxtbNwMbP3hy2/GVsKh/JrT4jhVGn37pCkFBkjgqWUoTfmqHovsjuvH3qM80S+HUmCA5HAXI6Vi/rKl2JpJPor5i/+5Hjgbo9K3fwlpd7mXT4/GuGRfQAJPLT18PkSu/vaqL0uahogmTCdx6ZOWkonvGFQoms88EZrB6PPxEMeVxVVaOrGw9qdx/37UFNf1tUjvH+QBTy0OekOR+BVShrtjqKhBjI5qI8CsORqAp5ag2TPzlwtRngBSLUo0f8nGqFIOI7MAXq97pKcH63g4RClbBgZI4KmlB848h1y9F3etrGBakXJkihvt0dF+dJa2wqPP949bP1IOUOkHeGpJ2t5rrUJZQ8pEY1J6rGot4KmltZCNRG6OytJMudYPVdd0TU8XraW+wAADJPAGYiDzGKnOAcOLn+TniwUA7I5t3377y3ffJepCYGNt+bk132hqR9SirqWFg9GjUNbHcTSTqIXDMPAG9pAI3lZZbo7K6lTgS2CwNbKyIo4YSSkwQCbyMSxsSJYGR08IAFChmFxaQkiIVAY2uNYCpAx3Rw7r/sFB7KzZVmP7wWhowxFn1KqBixLUiu2bCmlENd+UZWcF+PSE9SRQy/jk5OzsbEIg71ZcEAxUVvY3NSWiIyMqJFY8nE/TW2HCoCGiCdMJQZ1QYsyA14pGj2c72F5djZBQL5WBsq7Fo2t8cPGTo9SXD2MfKLbZqpXYTpo52TN/SXNgGakOixCeDESw/iOCORV1dc3NzQblHXpEhkLcoPpY7FpVYzjeOyZefRpKSlrM3W4V0iiM+FXpgUNEE6aTuPQyNfgRnPNaZaBfZRjF/CWvWJ7sV8xf6o1xAnJwARQOwHYQjvWkiQinv7JyMBpNdC3O7ZC4RPxZnVQhOE6jgVhMkiVZ7XYTppO49FZ7+nHDv0LmL/IfAl4v4uVzeV5zs0GEw7nKRgbmjN+7R0ztTAlN8rFbJWI8ceNT0sXMhAsp/usz1bf80mQWEpYs0khHQbFss0Vu4A2MXENdzF96KsIYEhjyk74q5i8VYaroS7MxKn37NtJog//O5xPL89jIAAAMYBtdJFZRaG22XHCc6PHwYhIhtBw1cjmX1qTSWA3MXkK5zrrsnGLUoq6lTlGhQGZd4rRA1QFPLUEvrAkmBNi1pERKM/OXbIxKMOCURdwd0QVDGzzl4QkAYIrimBB/UvaoAihfhdse297h3t7TcHgxEAj4/QehOPPnssbG5oaG3uJitNGypPhTVVFd3XAgb5mgTQ/7KepqrzIJNHpQoUBmfXSaQmZDa4Wnseq8IPCHJ3nfj81sBFb0t3sAuKq3tTQ21ddAyaVj/mJvVNSSmbINGDRlUU1UdMEkHgxUwJwpv7/dil5s0obP9wl+4mpoCRpd9vsJhX4Bjcau291bXd3X0mJgZl7ApJ2qaay5unnqX1x1lDVaaGxv9Wp7A3UtVDn7BaLRgwrFWNAhFiSCjnUFwUFvOO84MvYsOjG/vrjkP969oAPzC53lNQd9+6X9u0e9VxSktG3+wr5gdVSSekmWFkcDRnEbTVlUE7UccYKNDMyxFEkkaYNxJ5fiDuUstF1S0Kxm4tMRbciH330WK/2pjHCPwYAuzvVvR37yqdgfZNJh8/kVjZ7P/jS66UCcqMhvEhjmJW6351BBx9tD/f/5t1+dmW93Olo79Q1iRcFp8m3A8XRp6oOdrbvD1xT2QleTJQ+iWoOWRiWjkaS1bCPBroTitkFTVtAO52rcRiYAFRbFYaQQMuuF7a0t//Fvf/b3E0WBXSn2aGVF2S//9mftzdaObP00fvrRrT5VP3LaRD9yWHFW9AIdRecjptNfzz6L7t5PH1FkRsXuqJ/IjymdXYxEB2JqbW16fn5nbk7vQ1aV2fR1dioeql487BBtzXX/tiDy2ecPnkfLTjxxu9ELKOV/fmj+Ssnep3f+VVuD11Vifwr0yKetLHMO9zQZhIRQviop83AxJOPcglFtFdQvHBxMzPnMAsnopyBIpxyVJc12QUe5WWT/c6acj+LWcX9rmsjlHk+0q0tvsVHs8SxXVPjD4asrK3ob8tKSwmsNxUfXm35YjS7t+INbm4mm+96q6rYrxW81NgGZDjqq4+fz82dmeQMpw93xIN/0t6FfBEVLaO/gwZNxZQOLF1TowWTS4lGlbAG2tm8tsLS8Gg3t6N0WwJSorWluuVKXJfI05cBkAOIwki0tGAyHd4OGDUM+cK7WJaa7D0LrX5+c7HA1PqPX9DcSlbm6hWxqaakIg7L6Br6BWpfEuyPXa3w+oh2s5SUx3a9v8PT1tti4O2pjk09AWUPKGO6Ogur7+3uzSxOxu7e06QiAs1SEuc/088CkL8wC7gZW9FLWgvLG9raia+HC/ob9xBg8xvE4nVZdXNiL/2Lo9wIj+WGNb24+mJkxDS7ucCRKMA3Nqa/w+n8/OfnY48EKIimAmgnLYHV4+Nf37pU5nZr7f7UIhLscnBMMjyIYPXrKWgxM6VF0P7K1khIsewB8xG/GZ74cDyougarfccTfNtE8nTt1PH+6Nz05/rc/vVNTUylgLWMSXeLxYEYi+QBMFUlgAdg5RjKTf/j6q7ne3p07dw5v3tRXUB21/NHlImQ4MZqTeg/Sw4OOGOIs9ffv6O6IegB9WuX4jwUC7t1d/Z1SD/MmLb8C2Og8WisUe6jC4Rs3Y8g1vG0JnBZhoY9JNDaoko/Csa6O/wVI1owHUzCSE5Yt7YeursPqaoVBn8xEhnMWvjwhw/EeJEbK48MjDHE2R0YcEhhJ7/SIoU+L1/ujxEh+n5fjUEDtaOGgdktCOqoi5aQ/VurZNrtT4jACC31MosUHnYpOyPMQoMCxjseu8zdkOfKeKQq5O06Gw5ywYq9RtM0hSwR7QoY3b28Ljm88WGKIE+mRDXdFyxj67FjxN5x02jmYeZkOBdgIIKrWoq2S3FyQcmJ+vsF9ZIaRSEMQ0WGhj0m0GClV8TLAiQIUfifIuy15pihcXl0dj0bFXWofG5dWRLDHUyUxmgXkJIY4lnxaYOhz7I0z/9F6fLkJfOohlUntTOjFKPEDWFhyzrbMoEOBF82L/rMRzE5P7NdUOdwiozl9E4tLzzcaOPxM9w6M33EYgYU+JtHYoGL0p/+saMqimoguWFsodKe/PxGzuQra8ExR6Pdtzm6tOqTjbYVCISLYfzw4aE27Qb8SqdL8sPjFJ3oLph6+omXIWNYiEjtKNE+z6mq6xFNRXtMcJ+MXDh4/gJUNHfgBZAqZcigg7DCuEKLqqGzfEWdHFQdgeIFoO46k0G4Bz3AYAWHATYyjj71GawTFbTRlUU0cMvEoYc8zRWE4tK7onUs/R3t7+3NzuJsyC3Qg3ZIpIBcvDiB+8Xq6lb2Hjz0yfDOll074oN9PTIyP/rC/+ez06MK8q6y+c2DorbevXZNxXaQODhUKZNYICSWfGq9npPcmoegz6FBAsuvsgUGPo4jDtdLxySfKd9c9/PbQlE1KsHN3tOeZ4ozWNncHoOv9RRKHk7rP/CI3M//Z26AWuZ5zH+IAUn7xuidS6vlmvWwxMH6np9osssG3D5587ztdiTWGPK6jkgG9v+H9ktJosNL//fO3m5ZheeoaNk2i0YMKBTJrMfWq1scJdEN+7Gb/ALv4JcTTNB10FgrAuXO0k4sAzhAUzxTB4CF6vnKP6pkCvL/gR8pVlIJiP+eSIX/9wtAHcYJ68VKYFwXFyvWc+1D8AYTl2LM9R+DQeTqDx8E5A1JyUD58MvMv85HFmPcg3+Vw8xc3WoWNdeDYjR4jBzjNn8RzfdIft74OuIVGDyoUyKwREgqIBtBxoPqQnwrqP7SQ7Xia+kHmZlrxTKGLdpNykOeeKT78OPMYyV2N68V+eXnc/iYcEf6G89xuJA0ygcyVOOubG3kzm/X1Dernp23QcXU99PkPfl9eszjAgsL4iDkOflhpbKiX8QFOF2j0oEKBzBohIVIZ2OD62bjLPRzW7I76nfvMoYCFtU10KKDvQjLNxQbSSn4jgGiDdJNs3CoYwgV7ninOVs2S0UxeXp7Q+yg+LbjtBt3uuO9mPiGsKfo7Ooo2Qgi+ZA5HWgIp/ScHkA53hq6qhM7W7u6DqWV/Se8BtGOqB6T0F/UCf0fO8yBdoNGDCoVyu11KuN3md3B35LDWfh6p+s9KOVc67tkRd/mFDXKqfiDaIN1SQRnL+fFnNUBRISrQruPjiLFf0/fCsrLSri6BW3mOQi7CM999t51KikgfoCMmPoODgyuh0NT0miL4knuIbfhg+cmtoW6V5Ff8DT98GK3/WNIlBl6mgO9rL0/kWZj1j0YPKhTIrBMBJDkAiRUzmAM5BdnHPZuLjeTT19vb1mINI+FeZztAUWFDU3V3VemY5CQcDo/Hc/36deYvqAFSYo7j9vvFzFXMeuonJz/p6cHQZ3F/ArUAgxxW0AWxDbf9CxrJj7/hPf+so+Z9SYx0HIaBP4ncTuyCRcdty/jUdAgJtc5/DZddoh1yeZUn1RMbz14OGzlcCMg+7tmCGDzaADD36b/eBemm5aRMXE6AosImr3cgHF5KxZdXh4tfFMI9DF29ytEsngB7z0jkpBhtNJ9vxe+PhkIGbbSahoZ2t/tqRYVq2YjSlF5LRdw4pcQ2PIrG7QaxeMZEyhaSws/5fJML2zPbxcsbrshu1cnhhScWYsESfNN/vEl4uZRU0UtxKMC1gbssZB/3bAFSontfdbz23oAXok2986RcKwCsBihSTPlseaYorMTfBbT60tKDZ88O6+sVubbJo3iNIlSTwyEpgGYv8UbddWjshkJJNHbd7r6amnY5wyKTEWU427e2+Xg68PXCPjG4HeU9jnjZBxdUYsEGfHtEO8SvB/G8BJ/zZTkUOOM/zEH2cc/mYsNJwk9XW6bCktLS0rL6ckdH8dHd4ZuC8WtV1ATnhtUARXkejz3PFMpWx37285vDMXR/Cgt3ULZI5qQeV3+csLcldH/0k0HQ+U5bG3+Ou3f1+TmY5sL++f2J0fVCBR3NH6iiZ/n9v7p3n/ByAl3xl+hQAKSECwHZxz2bi43+JHFVNXdXXxu5NnCtq9d8isYSVoa7Iz7qlfBtqR52tLWbN3H21OZy9eNgzLpnivPDl58LjqpGNwMPvvrKVD+yvx8Fi1RDeiXLWfQHk8uLJ1d2SqTcCqxV3CLaYak7ZHanBFlfYjxN5fgeuspfoiRWlaNa+kjnAYpKSyWVuWgc32NN1dWDXi/uLsQOCNSRKJ4pQiFVGnlxHQQpB6qrm/puhJtb09chtzRngLl2oOEs68wUQ8SSUn7xWi+YxbiqmiISiljnVYrcwGtuKlj00UcPAyedjqJarU1xYmJmlmiHZhgJbafabr+seJrqiSx/Lgsmay9A0WlhYce1ATxT/O7hQ3FQOlV1CF0NVWBxgZGMiUO2orHEIRfoWTAHG0XYf6Bwj4az5MN9iAOIX7wKT0iR9qvXZgvzDy9uTaKWiA4GPLVUIBbdtzgTral1eGQxkliwBN8U9MFGlY5DAUHLl19kL0ARvwfIVqueKeIw8vKnqvWIORL2HyjciyUuKjzUItdz7kMayU+Em3eH+td/2NnJr5CJjljh2AGeWtoAYrubJ145dD6rQ2hivVGV1o4+AVLadiigb+fVTbPtWfVMkSsYCXWFORL2HzKmqDAvoBb113N296HuhvHxP8wctuA0X/wJPSeBzoLloe4/y8ihJu6LT2LboYC45VeoFOaMvGcKxRNVjjxYx/3yZx+0H00Xn8QxGg3Dg7X7XrcTM3tDPuj1y//lz25Uhgh+aCjSv1IKDJCXgI76ft+kJVfg5eyRZoYXpc0tHd3eK8eni755NJz1doBnHnaaEXwhaTBj7YJkd29da/Ltji+tzs4+jQR9+lVweZu6u68O9Df2NpW/WuiIIdQ4Yb4Xnka24mdU1dTWcXWgr0VeFqpfEBRJJ2fmni3PxKlEKBH7mgf6ers6m1QrBTVA0a4VZS41QJG+L/n0ZWOkwtwSGF7U12HSVr662lXn6Kq74ozFaTifeSGrQPAlwCd8AaBF2lB63Otti+3HCW2dpd6Wxsr6+uQhJp3l1ZYUZ/ASmD3FGf33A2nGVo/mNvN8m2UHu3HGfsWnZWvOvM3Y2mDj5hlvXF9PlOYroLk3FSxcWi/YCFQdhi88JitRTY9d686TleA8UU2xUVYDFO1aUeZSAhR54r6daDTxZZeKkZKGFxXb2zWlpYZA4PHDFr1BT1R5uix9IRRHmtp79k4sKM7gJbDailBYNGKTMvDm+bL/i/G16Z1SRSpY5XVcUGJKHUSci1HH+iJBTfeLnSWpnQKcdcRXmJpf+cMT31nk5wZHbYO+f4i7fYdjOuRYXds4ODhyFTgx6yZA0frJCdY2WP/pgZOm1QBFOJnXShH5yHumuFSMxPDiN9PTmx99JJBVMg3M0C4nJKi2ZKjmD90c3po/lVecudbT3dCUXWu1vb3oP33+UCH1ikROsEDW8X3X/ucP/8NffcyvUZuUWYL4Zb+6N7ZVOSJmSiC7+nphKbI/8e9+egdn8jP372+73UGXS/ztzgMUDQ5qFwl+AJY8U+RhpGA29Mzmc3f8dn//y5oa8ZS0Tlu3tz+Bj9/SojJOtfwsJdiQ/ttvv0opRVR7r9+5/zef3BJIEdMfJBr1o+Prv1nO3zsScT21jsoKD/+y5WRooE6MlNwdv3ka/NLnFKOj1mxr2cHHnXkj/Yoh9pczM19EowgJtVJDgt2ReFkEKFIjwlAKOp57pjCXTuPcWe+Z4vL2SNuGF5eDkfQCVeSaWGFjEIi24QM0HD//iw8H0ZXM6sCC/IB/eBireNfw1c1eQdxvf/i6rfm2GCP9vuWJmdVD96BZO4Z81DVGH80PdNdD5VgKUEQ79jxTWMNILgTYd2NQiwWjfujQHOhZtjQ2qtSZvkhL2za8yJrivTa08wRU0Y3jWHFx4cx2eHl5ObK7FaeN5vbU1te3NZT3eZsGetuyio4MKLK/ixjpsPeGEjpX7gE+sj8ght1cCyBtcnTKYiTaQ77AzEn0Lqan4Lp8gCJQxZ5nCgsYCcrTB+4GsO9OCOR0jNrvwNZWf3zQJP3q2Da80DeSMs1CcM/HXa890TykJYKcZjR2Y5FQwVa8xu5xa2NNf0+1mSzbbGycv2x4YJgBwFVa7q2sFGxpBk+FhurG18OwDDxyJqRNxrrm7yizIc3SyuFySAYosu2ZQhYjuRBcuDtLcDeAUQRa6Kj9omeJYpuAO6PNLRsJ5RI9u/bt6OTiU6xhLlh3zpKSsobut4eHR/paUlp7KcfTtU7+0h8hd1OoE66DnL9sYHqMKS6vhrp/961hbn5lZSXZ3nHTn4vVFmx7ppDCSPV+iqsqsW8gaGTUfo8+//yv7969fKRkkH//P/4wf9q+U/jW4dVrer/iRLfj74uAe/r3j+++1XD7JjrKl/HAu4FY9rmvcx1Uzl/dA+NmxVnym+XjRzN/FPso01V6lZK2PVOkxkjOQah3HPnhOS3lkqCFPlNYiJ4lim2CO2XKdqwCoP6Nvi1C7XDhmaZFfn6iwQ3WXtjO/stsMO/kiaQHAavD0MPD2YaVqPBuVGI54TqImhIELwC/e7h0EItaYqDqO8rdtC3PFKnl2vA2cXOq6JabGzxoiwIMkMBTS8tUE6rhhSFT8CofEpSL2rRvF8YNOhZipsaZsbYXpxcwQThSBb2nWcSdG0ELnO2UqkwAAAYwVQydcrIbckSvRW4ZeORMliJZIcdCmiXqN9NlqTESJ9BolSc1dUg6GCCBp5ahVAkJinmD9CMfEnRtzT++tClg2ej7BANWYmU4BsLZlT4/s2nE0HObRwLzK313gAFMFX0mdA8XzSKnBQt/4KmlbyQxjZwJaVNivlkOvrVoVmAMbVbRdn5qjIRojTx7ZqkD4A2kLtWVkKB4CtDZm4rblA8Jury6jl6FuDV9aQjFhdEfcJ6mz8xsGq0IHz5GpB+AqaIHhwyH7nHmy27kcMiBp5a+kcR0Q1ML0iYUlhOLkubgrgNpls3ArLY8U6TGyKQDtZGJkhwhQau/+EIGKRXDC+mQoESLN6j5iId3FAvjNi3Rl5+4lqVSKH09ZZ2yLsB65gDwCvNvoK4p/ESsm6e2DAyQKQU2AMO6Gmx2VW0/kEFKNPfa858jsLHBClA8UzRaCN+meaa4PIxkOfAU8Je9vS83JKjyCbPp3k1pP0MPXCHI8IHSAG6uBE0qTrBKA0ACLwDTipA2/dWHg42xFHqooON7HaXIsWygI30pnimkI9gBr3mmSE1razNJPwFLyIbhRfr9vqItgAp4rocMr1K00YKc7IZ9V2FqEtSiuWSwsUzg494wfb4CMqdYLDYVzFta92+sreE3S4NRtNHKq1paWnraPGijmUX60eDNEgjwkJjY8EwhhZGF5eWW7lzAmw2UVbZqeGHW1GuSD1fIW7ddjcZuLEl0n7am04G+ek3RJnFNYNMGQ3uh0LbhZu8pLe5zHFQchgPHWwkau66Bjvyuzs5E/h0MCpx+4WUJtzaGvsq9dV6vW6tCAgGeDc8UqTGS8Eqe7u4d1JAMQzB5xddARXc3tUzKlWxLhheCdmwWpXLvZrPZrFUD4RpuVzpuv2W1B9AR3bNHk3MPRk0CP/Z3dXwkGw8KdPTt7j70+79/9Cg0O4uBojYeV2tr98DASE/PUPWFPjXDtuGZIjVGVnm9b9+8+Uet81QJWJLAUysVYMbKUQ7HYsGCezenu7S6FWX9jI0goSGMwVHwvnAalABgyOD8dVWJfsMGeMlXHBaPbrpDRV3R9jbHlbjhoJb7XcRNkHGiOktGF0X5/593dgiK5ejoOIp3fMLiT7lcvs3Nia+/whWFJrEjYdUzhQRGlpcPOxyEVxLbgatrpLo7G+7vR0NOctUSwcyscAgpRdgfHANrR4NaF1l1d3fxmJEln9jweY6nsnKg4y2U9U0hXhTAtbZn4IL5C/YGKHhLPlwHOX8lgWXA2B1Bx7Gge5Oo9pxu+YVJhVjEvCfIOFGdsaTT0Chp+/8yPv7NWUyjc0FJgriEThCOIGr+x0cP8YynXSSUa6sVzxSpvwo3P5yroFNJeCXi2RBAJOmIyVQUNgMBfAMJot2Y1VXzORdEVjgeD1GoCPtD6BS9Ag5ubgb2C5YeifQatX5hlDQ7I/jH12y9tSJDIh0DF6yxMH/B3kCGSQ6xDHXCddAwANuv6mHN7qigI/6zzR9KiXlPkHGiOkODmyEle8So0/msvFxs1QCyHra2Pt7baw6H3XijeOG0nIS8Z4rUGMl0VHKEaF+EVyKeDQFEiNigdzoPKQP1rjjyczjEEcHMF0fRN7YR/oQGYd31NkV9K88fbwfChVUCQSLo2O4Mvt3k0iN04pD4YaRp4MIOgTUW5i/YG4gFiQypt2IfYlnbVBLHYzUHUoa7I4e1sjumekDKNQeeq+aI6pwUI/kuRDBa6eqK6hwuCFpF4WZ8crI+FrvW0SEAMysq+Lu/+zuzMkN+ax0O7/MLZmf3v/mm4N495+hoyZMn/LkmJryh0HBx8YdXrlxvbTXUkn99Ggj8amJi/b33DspEZiWx2tqN9XVUavuamgrQqDh7ysvcV1sbfE8fhx2uo7ziE2TWR1HHyaH+j0AXjUcLH/ZV3x5OQSKEdiP/5bdfPT1ujRaKbsOHBaVbB4X++R8Guq64ElxY1VZXed35lMactaeOvJODiH4wpIuKCtwFR1diE395B3ragnw15ZIu+1Z//YevIuXdjjxZfnNg8t5AdwtjTmw8cnT0P37/+82mphNp2mD3m2+ajwo6WpsSW0uZI7VHaq1AIxPt69PB6xlxuqU1S4JzgfAnKY3C1Cr8CrGLI+yP3gqH3zd+AUZn/d+O/mCuH3kD/Uh9v4lp1cAFFbJznZ1ECF0O+x+QaEAmlZdgHIg11pl+5Pfm+pEfS3K2dd2mSMLo2V+bV0gZro8yz2EYeAN7SKuHUyQiGB29I+uQm4oodIftRhiXG7E2OodD3diTbu86KMvJjFjhMCosQuqqig7euWpYX/kQ4Rk0cOG2owoDMX9JtDdIqUOuLaJtAktrIc2EEsHIkoWgJT20+MFZxsj46hl7y5QVjnKJTs9vb8YNXEBK/myvVDoElu1OX2LFXMHIy7HCkVxog7AuRS05A5cUjSQrTp/AStZqrufJ3nxzfR4/xvGpHgTG92vELCRKgcF8AvgsLYMSwShPFJ3D2K8lPbT4ym8wMn49cubtgsDKF3Ee1PFqBBa1yMF3cGl9p8OKx2HgNY/DhjVAXZcIRmiLGfIFr+ihoY0mABAUvcFIweK8zKJzAuvkwkeUeDRnHgQeUgswj6dyZGiwREIopbUJPLW0V32C2EVEMILfrM8Up9FDQxtNDGNWmisYmT0rHLOZC/JlDFYuqssZuFzAy6XOCayYhYP4zIOAov3g9ZTd7O/yHPpxRpyyN8VhscMPPLWSAsPBIIJR89YWMrmkAIZMtK0HPB600Qz5kq+5gpHZs8KRXAgNLEsGLlr78gnbBBY4hEhwqDpcVxAUIyWlwAApECEyYPjQQ7EYImL0FgTjxzrA/ezZjVAIPTRNhCiAT1qUKxiZPSucpNMWZGbJwEXQYzaKQEo0ega94eq8YAlKTidHBN4z/JFPKTBAAi8eBsLh2w4HMY1AO8UuBdSM/yOzYnPzrbk5NNDSkYjmCveHX2E4Gp344gsZsY0+/Il4HW2UqjxtDPtlPKKfGbhMDw1IucmzMZg0q6DRgwqFoh85baIfOdzF7ijZy62+PlQXHi4siPQjdapoks0awHIFIxmWaoVjNfyJYT4ZeVUNXDDsn96JCDgv6OygJPHJsKyBS0bGZqkR9fhGhWK4p8kgxIKyhpTh7phyd9R6VLXAsOXpu3375MZNLV9NqDrk8q0ZqmuvOYSRTCZHrHBY+mwYuGiLLpmAwIpTshVXMyGwWFX+bJvLGPpkZTiR0zmUDQ0mvmYLI/HNIu/oVxsWE7ZnhYN4Q9L+Q+srZSJNA5eU7YsBVAIL30CSMaNoTcaDgLjTXCjNio9dRaOOEIszM6YhFhsabGv1Jq4a6GjJ/iOxhRzMUTnkGfexm4MzNQwp8xgJOlp19GsYk9VXFO7P7T8cjkRvMIol2uZmz+MnL8Vjm96teg8AAAlNSURBVNW56OFByv/nV7IEFnGAJP2Q67vIwXSGMRK9KdxMPmhuThmqu21lBW6CbYVzbSlV+4+l5maBwr3CsFhbG1lZ0dt/aC3kbELVtDgjsM5iNZgM9AWB1SYZq8GkmVzJzuQ90rajX66P9tYjTfsPe51eWq0cIbAubb5qR5nESNuOfh22MDJL9h/ZIJLS+ajZI7DsUZ/pzEWmbiYx0raj3/OYwjLj1cEcOk6fPHkSqqlxyFkkUXV2dvZaVaPAIik3iSSF4WLLg4ButYxJfs+WwswY62ftPZMYadvRL3EAbEwwG/YfNozkbYz8pVe5oD7v3DmMj0+DOx0c4f/R5cJCXx9m5tLGnEmMVAZtycAibR9lmbX/sG0kf2lfKyMdqdQnpv648VbcAST4AlA+45mzACz0MYlOn/q0NOxMY6SlznMJ+MdNJGkrffnUp9a1ZCJXdH8kh5slsHMiqapK4LFD37ViJB8KQcnpM1+JtEJ9hkKMX2a0rMZKVRXuA7LqIdswkkxjpCUDi7R9lGXK/uOcSApduFE0LFPiK0QSlFxifo7nKNTn7Kz8IPFfAvnI+shXSRMykxhp29GvvTlk0P7jnEjCdYz0oxjJx4fik676MgHtU5+XNepMYqRtR7/2JptZ+4/MEkn2ZnRJtS6X+rQ6qUxipOLo1+NBnVZmEBhtYLqBAUdKH2VmrSnaa5do/2E2jDf5mV2BTGIkphUYWGBmgbGFovhu/ihxwQMBTDdQHbctQqT5y7T/MJ/Nm5JMrkCGuT9IF2w4+k1nQgq3bHw8Ojmp+H4V6P6MT/xcGK0xU0RSOnO5pLqXS31anVSGMZLuOUytOvq1OmgDvJT9hxAdVSJpr6xMPgBAOkbyhvFf5qtCfR4fW/CQXVaG+4DLjPmVeYxkfUFKS45+k34SeLlTa2vT8/M7c3P6ONfO+voWfD93dnJkqxU599H/Tcf+QyWSvvN45Nk5ipF8KuGn/BSSroA4ExH87MbG1OxsYGlJH2yhqLKSaH99jK+2NvFGpFCfVaVj4qZ1pVqYGV1edpMZ1o/M1GCJpDm2vzVN+Am/P4pL3/CFk/Fij6emoaHd7b4aDLI7Ji66vTEgs/lNIDBTXi7DJId6+4vKypGqKoFVclangDLvI9+zmZoa3/r65vq6fn0K3e7qurqmurqeQOBmU6vBLRs/kgdbW/9ze1uGSQ712bO7+5c1NRlU+E/5dbKyR6bsVQyA4PVBaP3rk5Mdgkadud7TO0FC5IqoZGt7m1gpRfgkr29gSxY3KFOqEEkrK9FYbMnpTKn8qxjJNzUJ0DGrUwAdHwQ3voxGtyoqDmtrHQMD+vUhkOK6wxGMxVaXl0+CGyNnXrG1FVCpTxthZrQWsp2w4PU520NR2+cw+v8eP/6eqMhCSddxSUm4ru75w4ctngqPy6W5f05nkLi1Pt3YCKys0HLB8fEJDPNoVP9XlJeHgUTf06d/fesdr7lnpqxOgca/XZy/t7e3dvPmCS7LTB6K9hsbNxcWnJH9lqoq/fqUlZRcra1be/Ik7HYfFWNxbpwmU2amDWNj7zudl6xmwWxy69RmufHl/DuP59mLO6LJgp9nw2P6IBB4t7RUu1OK4VOWMoA0jciyPYUJv/+LgoJxdsdkOjuGCbI+Azs7Hx0fX2toMBQpovxLtM4z9C54Nf2RCepkrwiJ/vdPnmyOjDjkMJKvMrmw0OL1Zgoj0yeSooeHWZ0CpIzP61UOa4mH9eGiORUMJmJkRqhPiSFYBsktjMTh/ur0dKSnR34eUJo7iMXgSmboASnTMZI/ih1ndQrMd9PKfKF7AkT6fv/9xOXhTikfZiaxepZyMimzycgQY+vrJ0J5j6EXGB94jDZkvsRXwnZndQrMV09Zp5wpwHreUEr4lw6Qcxj50lfkzQBe7gq8wciXu/5vejeuwBuMNK7Im/eXuwI5h5FOQt1J8DW0VUNohsdo7fWlJwiSnNUpMF+kMvLTBJgq8vAvHTK3aG1niauxt3e/vFyJOCD3IMOtkI7XJ9dkWlCFzoKsToH5Vnu9SGUkHySKNZaUfSTbzRpYbmEk2rtvX78edLslMRIOcH9HR3Op/YhaGV/YkqKirE4BFYq1ggKEhJIccgTcfdWyXnQzvho2GsytUxteIE5N2yYnZRTRQceqe/cGzxR/bMw8S1WyPQU0elChqJJT1AcMYKpkabLZaDbn5NpIYOvKyx37+4QsJnCx2ZzRQkfw+tP29t6a2pJiXL/n0JPVKdB4ZbG7yHGCzPqgqspMtM3PtXZs7AOvd7iuqcyVAU2US1vf3Dq11WkjMhmJnBSjjebzibTRKir00YwvbclkOsrqFFAwQ6MnPxKZ2dkRaaOVlNz01hq00WQG/3JhchEjWZG2xipv1F2Hxi7m7okau253X01Ne3oxYrV1Rzci4x6jrU4BvYdQNLIVDJ5E4uyT1CDMnhKXQeMOPPugrKcRjd1gECGhXiqjaOwWFXF37O7p4QqhTfNVSeSW7s/lr1r6yj7pjxl0XNgOEpXj4fh4eGHh9IX1al5RkbujY3hgYLijg0AWBqRMv9/cbOF1x0gZj9Fd09NYDmUPIf7p/v0HbncQ9WQTyzXv7OxIOPyzW7dyE4cyO6rXGiNfusdodsfPxp489no3a2oEiuuQcdWBwI1g8NPB69n7YWQWsWy3llvcH9vTsFHx3BmaEBVoFrZfuLX1scczGQ5jpGKjI7Mq6mHN7ihGR6qDrMAAyeFOLbMGfxz5rylG8l1x+YXjLxk7L750NpyhQcpwd+SwFuyOGpIBAyTw1NIyf5SJ1xQjc8EZGpQ1pIwlrAKeWpaqvHLArylG5oIzNBg9UNaJAXjMcAhI4A3sITPgVzf/NcVIPlguOEPTGD2SCGQVXrLZnAJ7fTEypz7Dm8FoK/AGI7WleJPIiRV4fTEyF5yhIZWxhAVW4S01niPArylGZtBjtO0PicwaISGBRCVbABJ4aknCv6JgrylGZtZjtL1vX4WqmEUzc+CpZa+7V6XWa4qRyOJeusdoNHpQoUBmjZAwJboAAyTw1EoJ/EoDvKYYyTdTnKHFYjifFiMEqq84sVacobndAmdoNpCAXwUaPahQILMWj4FSYIB8HTSAXmtNC9Doje6Pjd9SVqu87hj5Rj8yq+hlo/HXHSNZsizpkFv6GGh+WNIht9T4qwX8/wNsFY3btgXsiwAAAABJRU5ErkJggg=="
    }
   },
   "cell_type": "markdown",
   "id": "cffb6f80",
   "metadata": {},
   "source": [
    "## SVM核函数\n",
    "\n",
    "核函数是一类功能性函数，类似于 Logistic 函数。SVM 规定，只要能够完成高维映射功能的数学函数都称为“核函数”，它在支持向量机中承担着两项任务，一是增加空间的维度，二是完成现有数据从原空间到高维空间的映射。接下来对其做详细的介绍。\n",
    "\n",
    "首先我们再次强调 SVM 是一种使用线性方法来处理线性不可分问题的算法。明确了这一点，下面再来看一个实例说明，对于 “你中有我，我中有你”这句话来说，最为经典的案例，当属一类数据包围了另外一类数据。如下图 2 所示：\n",
    "\n",
    "深蓝色的的球，被另外一种淡蓝色的球体包裹住了，在这种情况下，任何一条直线都不能将它们分开，因此就无法使用线性函数直接实现类别划分。\n",
    "\n",
    "![image.png](attachment:image.png)\n",
    "\n",
    "现在我们变通一下使用高维映射的思维来解决一下，看看能否找到解决问题的突破口。\n",
    "\n",
    "接下来，我们将深蓝色的数据点全部映射到一个三维空间内，使之与浅蓝色的数据点形成高度差，这样就可以使用线性函数完成不同样本点的分类了，就如同倒扣的漏斗，深蓝色的数据点全部集中与上方，而浅蓝色的则分布在漏斗底部，此时可以用一个平面（此处平面就是超平面）将它们分开，如图 3 所示中间的分割线。\n",
    "\n",
    "![image-2.png](attachment:image-2.png)\n",
    "\n",
    "上述高维映射过程是通过核函数（或称映射函数）来实现的，通过这个函数就可以找到一个三维空间，并确定数据点分布，至于能否保证样本点完全分开，这也是由核函数决定的。那么这个核函数要怎么确定呢，这就要通过实际案例的分析、运算才能得到。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8bc5c59",
   "metadata": {},
   "source": [
    "## sklearn SVM\n",
    "SVM 主要用于解决二分类的问题，\n",
    "- 读取数据，将原始数据转化为 SVM 算法所能识别的数据格式；\n",
    "- 将数据标准化，防止样本中不同特征数值大小相差较大影响分类器性能；\n",
    "- 选择核函数，在不清楚何种核函数最佳时，推荐使用“rbf”（径向基核函数）\n",
    "- 利用交叉验证网格搜索寻找最优参数；（交叉验证的目的是防止过拟合，利用网格搜索可以在指定的范围内寻找最优参数）\n",
    "- 使用最优参数来训练模型；\n",
    "- 测试得到的分类模型。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "bf198334",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(150, 4) <class 'numpy.ndarray'> [5.1 3.5 1.4 0.2]\n",
      "(150,) <class 'numpy.ndarray'> 0\n",
      "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
      " 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
      " 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 2 2 2 2\n",
      " 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2\n",
      " 2 2]\n",
      "0.9733333333333334\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import load_iris # 导入鸢尾花数据集\n",
    "from sklearn.svm import SVC #使用支持向量机算法\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 加载鸢尾花数据集，返回特征值 X 以及标签 y\n",
    "X,y = load_iris(return_X_y=True)\n",
    "\n",
    "# 使用SVM.SVC分类算法搭建预测模型，并以径向基函数做为核函数的实现高维映射\n",
    "clf = SVC(kernel='rbf')\n",
    "\n",
    "print(X.shape, type(X), X[0])\n",
    "print(y.shape, type(y), y[0])\n",
    "\n",
    "# 训练模型,使用fit喂入数据X,y，即特征值和标签\n",
    "clf.fit(X, y)\n",
    "\n",
    "# 预测分类\n",
    "result=clf.predict(X)\n",
    "print(result)\n",
    "\n",
    "# 对模型进行评分\n",
    "score=clf.score(X,y)\n",
    "print(score)\n",
    "\n",
    "plt.figure()\n",
    "# 分割图1行1列第一个图\n",
    "plt.subplot(111)\n",
    "# 选择X特征值中的第一列特征值和第三列特征值进行绘图\n",
    "plt.scatter(X[:,0],X[:,3],c =y.reshape((-1)),edgecolor='k',s=50)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
